GCF of 4664/740, 4914/8286
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4664/740, 4914/8286 i.e 2/3065820 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4664/740, 4914/8286.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 4664/740,4914/8286?
Given fractions are 4664/740,4914/8286
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 4664/740,4914/8286, numerators are 4664,4914
Denominators are 740,8286
The GCF of 4664,4914 is 2 .
LCM of 740,8286 is 3065820.
The greatest common factor of 4664/740,4914/8286 = [GCF of 4664,4914]/[LCM of 740,8286]= 2/3065820
Therefore, the GCF of 4664/740,4914/8286 is 2/3065820.
To find the highest common factor of 4664,4914, we have to find the factors of both numbers and list the highest common factor.
The factors of 4664 are 1, 2, 4, 8, 11, 22, 44, 53, 88, 106, 212, 424, 583, 1166, 2332, 4664
The factors of 4914 are 1, 2, 3, 6, 7, 9, 13, 14, 18, 21, 26, 27, 39, 42, 54, 63, 78, 91, 117, 126, 182, 189, 234, 273, 351, 378, 546, 702, 819, 1638, 2457, 4914
The HCF of 4664,4914 is 2.
Lets's calculate GCF of 4664,4914
| 2 | 4664, 4914 |
| 2332, 2457 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4664,4914 By Matching Biggest Common Factor Method
Now, list down the factors of 4664
:1,2,4,8,11,22,44,53,88,106,212,424,583,1166,2332,4664
Now, list down the factors of 4914
:1,2,3,6,7,9,13,14,18,21,26,27,39,42,54,63,78,91,117,126,182,189,234,273,351,378,546,702,819,1638,2457,4914
Greatest Common Factor
We found the factors 4664,4914 . The biggest common factor number is the GCF number.
So the greatest common factor 4664,4914 is 2.
Lets's calculate LCM of 740,8286
| 2 | 740, 8286 |
| 370, 4143 |
∴ So the LCM of the given numbers is 2 x 370 x 4143 = 3065820
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3065820
Therefore, the GCF of Fractions 4664/740,4914/8286 is 2/3065820
Least Common Multiple of 740,8286 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 740,8286 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(740,8286) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(740,8286) x common factors =2 x 1 = 2
LCM(740,8286) = ( 740 × 8286 ) / 2
LCM(740,8286) = 6131640 / 2
LCM(740,8286) = 3065820
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FAQs on GCF of Fractions of 4664/740, 4914/8286
1. What is the HCF of 4664,4914?
The HCF of 4664,4914 is 2
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 4664/740, 4914/8286?
Answer: GCF of Numerators as per given numbers 4664/740, 4914/8286 is
GCF of Numerators i.e. for 4664,4914 is 2
LCM of denominators i.e. for 740,8286 is 3065820.
Thus, GCF of Fractions is 2/3065820.Finally, GCF of Fractions for 4664/740, 4914/8286 is 2/3065820.